Finite Group Databasebeta

C2×#19146356 #25972773

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#19146356

Splittings

FittingC2×C43×#453 ⋊ C2
SylowC43 ⋊ C2×#3288

Subgroups

subgroupG/H
centerC22#14583531
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#453C2
socleC22×C43D42
hypercenterC2×#453D43
hypocenterC43C2×#3288
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#453

2704 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

724 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1045744);